Question: A boat at anchor is bobbing up and down in the sea. The vertical distance, y, in feet, between the sea floor and the boat

A boat at anchor is bobbing up and down in the sea. The vertical distance, y, in feet, between the sea floor and the boat is given as a function of time, t, in minutes, by

y = 15 + sin(2πt).

(a) Find the vertical velocity, v, of the boat at time t.

(b) Make rough sketches of y and v against t.

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